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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 1400m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1400.i1 | 1400m1 | \([0, 1, 0, -4208, -106912]\) | \(-10303010/49\) | \(-39200000000\) | \([]\) | \(1440\) | \(0.88219\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1400m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1400m do not have complex multiplication.Modular form 1400.2.a.m
sage: E.q_eigenform(10)