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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 302330m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
302330.m1 | 302330m1 | \([1, 0, 1, -20263, -1111862]\) | \(-383188066235401/2468000\) | \(-5925668000\) | \([]\) | \(715680\) | \(1.0595\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 302330m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 302330m do not have complex multiplication.Modular form 302330.2.a.m
sage: E.q_eigenform(10)