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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 348726.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348726.m1 | 348726m1 | \([1, 0, 1, -87370, 10063040]\) | \(-565964472582793/8641957716\) | \(-1126228571506836\) | \([]\) | \(4176000\) | \(1.6907\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348726.m1 has rank \(2\).
Complex multiplication
The elliptic curves in class 348726.m do not have complex multiplication.Modular form 348726.2.a.m
sage: E.q_eigenform(10)